Charge-vortex duality in double-layered Josephson-junction arrays

Journal Article · Sat Jun 01 04:00:00 EDT 1996 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.53.14534· OSTI ID:284390

Blanter, Y M ^[1]; Schoen, G ^[2]

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1. Institut fuer Theorie der Kondensierten Materie, Universitaet Karlsruhe, D-76128 Karlsruhe (Germany)
2. Institut fuer Theoretische Festkoerperphysik, Universitaet Karlsruhe, D-76128 Karlsruhe (Germany)

A system of two parallel Josephson-junction arrays coupled by interlayer capacitances is considered in the situation where one layer is in the vortex-dominated and the other in the charge-dominated regime. This system shows a symmetry (duality) of the relevant degrees of freedom, i.e., the vortices in one layer and the charges in the other. In contrast to single-layer arrays both contribute to the kinetic energy. The charges feel the magnetic field created by vortices, and, vice versa, the vortices feel a gauge field created by charges. For long-range interaction of the charges the system exhibits two Berezinskii-Kosterlitz-Thouless transitions, one for vortices and another one for charges. The interlayer capacitance suppresses the temperature of vortex-unbinding transition. It further replaces the charge-unbinding transition by a crossover, which is strongly smeared already for weak interlayer coupling. The shift of the transition temperature for vortices is calculated in the quasiclassical approximation for arbitrary relations between the capacitances (both weak and strong coupling). {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 284390
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 21 Vol. 53; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ARRAYS
JOSEPHSON JUNCTIONS
KINETIC ENERGY
KOSTERLITZ-THOULESS THEORY
LAYERS
MAGNETIC FIELDS
MAGNETIC FLUX